真题
1 . 已知函数f(x)=2﹣|x|,无穷数列{an}满足an+1=f(an),n∈N*
(1)若a1=0,求a2,a3,a4;
(2)若a1>0,且a1,a2,a3成等比数列,求a1的值
(3)是否存在a1,使得a1,a2,…,an,…成等差数列?若存在,求出所有这样的a1,若不存在,说明理由.
(1)若a1=0,求a2,a3,a4;
(2)若a1>0,且a1,a2,a3成等比数列,求a1的值
(3)是否存在a1,使得a1,a2,…,an,…成等差数列?若存在,求出所有这样的a1,若不存在,说明理由.
您最近一年使用:0次
真题
2 . 将数列
中的所有项按每一行比上一行多一项的规则排成下表:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7da2f386b78cdf6489efaa2f5820d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc858b7a95c5006a44067022da09f667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e35eeaabd951fb09b2926807da3685b.png)
……
记表中的第一列数
、
、
、
……构成的数列为
,
,
为数列
的前
项和,且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b507d597586ad02d74cd78d20e84fab1.png)
(I)证明数列
成等差数列,并求数列
的通项公式;
(II)上表中,若从第三行起,每一行中的数从左到右的顺序均构成等比数列,且公比为同一个正数,当
时,求上表中第
行所有项的和
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da4cd81500bdb43118150dbdb1541e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7da2f386b78cdf6489efaa2f5820d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc858b7a95c5006a44067022da09f667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e35eeaabd951fb09b2926807da3685b.png)
……
记表中的第一列数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b1a669907dfdd9a1c6aa976c000f56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b507d597586ad02d74cd78d20e84fab1.png)
(I)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/051e50e9a3fb2a8c63e171eaed229b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
(II)上表中,若从第三行起,每一行中的数从左到右的顺序均构成等比数列,且公比为同一个正数,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e30eb887fcfe875d36343e9cda86b99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45e5cee4c7281ca194bdf4e7f62958e.png)
您最近一年使用:0次
2016-11-30更新
|
404次组卷
|
5卷引用:沪教版(上海) 高三年级 新高考辅导与训练 第四章 数列与数学归纳法 一、等差数列与等比数列
名校
3 . 已知等差数列
的公差
,
中的部分项组成的数列
、
、
、
、
恰好为等比数列,其中
,
,
,求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812be9806122241c476ba1db516c4823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae8ebcd5b8f8ae04513834a70575816f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e3aaabba90eefb861068bf014f9d0b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b625d02d9054af978b5fb6ec9bee787.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eaa992a449b828df0ff545e233b279b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5cc85ba1b26dbc3980c845428cddb04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/796f9c201f6c20b1c7acbda860274178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/089371cf5f29c549977e2f4b8dd8b8ea.png)
您最近一年使用:0次
2019-11-09更新
|
265次组卷
|
2卷引用:上海市上海外国语大学附属上外高中2019-2020学年高二上学期期中数学试题
真题
4 . 本题共有3个小题,第1小题满分4分,第2小题满分6分,
第3小题满分8分.
已知数列
:
,
,
,
(
是正整数),与数列
:
,
,
,
,
(
是正整数).记
.
(1)若
,求
的值;
(2)求证:当
是正整数时,
;
(3)已知
,且存在正整数
,使得在
,
,
,
中有4项为100.
求
的值,并指出哪4项为100.
第3小题满分8分.
已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a845e3442d04b024fc5645e364436e4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/194f644d156cfa364378e6cb1796073b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f21c4ccfd9eedc8a68499843e255004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/386bb393e94b6d9383fd5e2cea0cb578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004c1df7814646f1c2d0243759d14511.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bb85b9cc92f8407f658b510e21b1fac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67e12cf688a332905bbb2686ae0ca05.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0e2cec3153981fc94e4e11be8a31d90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
(2)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fae5d61dc57f60a14a9a919f2fdbdd0e.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc855e49a30f27721021fe028f510575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbc17c0130c0e8ecbcca4dacf0fedcfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9e6677614a3022dc18a3c688757eac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b22fe6e8c6ddc1b4114bb5002049a12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b1df44c855212967bda20f0a270319a.png)
求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
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名校
5 . 若数列
满足:存在正整数
,对任意的
,使得
成立,则称
为
阶稳增数列.
(1)若由正整数构成的数列
为
阶稳增数列,且对任意
,数列
中恰有
个
,求
的值;
(2)设等比数列
为
阶稳增数列且首项大于
,试求该数列公比
的取值范围;
(3)在(1)的条件下,令数列
(其中
,常数
为正实数),设
为数列
的前
项和.若已知数列
极限存在,试求实数
的取值范围,并求出该极限值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbc0d694904a37776883632731f49bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(1)若由正整数构成的数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a949b947e9961d4d68bfeb4e24ef40f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2360f4c62f7f1173922e755529a00fae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc8249abbfbed2e588391c0c917a75e.png)
(2)设等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(3)在(1)的条件下,令数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f263fb6369a7456d672f04e4eeb9a542.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/840c5d2d360ef28e2a3ab7ace54bbbdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
6 . 已知等差数列
的首项为
,公差为
;等比数列
的首项为
,公比为
,其中
均为正整数,且
,若存在关系式
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/543150ec61b3177fbb45b7e1d9800765.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f287a417489ce003a9f8e8f7902ae6c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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17-18高一下·上海浦东新·期末
名校
7 . 如果一个数列从第2项起,每一项与它前一项的差都大于2,则称这个数列为“阿当数列”.
(1)若数列
为“阿当数列”,且
,
,
,求实数
的取值范围;
(2)是否存在首项为1的等差数列
为“阿当数列”,且其前
项和
满足
?若存在,请求出
的通项公式;若不存在,请说明理由.
(3)已知等比数列
的每一项均为正整数,且
为“阿当数列”,
,
,当数列
不是“阿当数列”时,试判断数列
是否为“阿当数列”,并说明理由.
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f73a97d20f5bc6ce114cd7ae7845c009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7b1bfb98c2ca5473a25db8e422aa3c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df1038200f2d97a52c716aab6c3bcb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)是否存在首项为1的等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/771d258a9c027fca9daec87acf8c36cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)已知等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16a90364bdffdb10175942d399cc895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355979e22b1e14fb522ea7a9c885e237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
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名校
8 . 设四个数中,前三个成等比数列,其和为
,后三个成等差数列,其和为9,其公差不为零.对于任意给定的
,若满足条件的数列的个数大于1,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
9 . 已知点
,(
为正整数)都在函数
的图象上.
(1)若数列
是等差数列,证明:数列
是等比数列;
(2)设
,过点
的直线与两坐标轴所围成的三角形面积为
,试求最小的实数
,使
对一切正整数
恒成立;
(3)对(2)中的数列
,对每个正整数
,在
与
之间插入
个3,得到一个新的数列
,设
是数列
的前
项和,试探究2016是否是数列
中的某一项,写出你探究得到的结论并给出证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e348e118be23bda877bdab6d8d0c74d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/996a92bcfc7fb20171fa1768d5ffddb2.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2abce20c3be7e20f84311ead7c51f06d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1377d208048d94845d6ec965536f9d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcc31dcdb99754fc452ff2b92a2fb8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e99c2d597ddf409393ca51f838a0ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(3)对(2)中的数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f255d0395fba51ca2d44293cca42e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217b927efe12a98e1082ecd7f035b921.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57c08284ef994af246547f9b171d37d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b783cf91e34e692ce8e171f0965cb53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
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2019-12-05更新
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227次组卷
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2卷引用:上海市吴淞中学2018-2019学年高二上学期期中数学试题
名校
10 . 已知数列
中,
,
(
为正常数),数列
满足
.
(1)若
是等差数列,且
,求数列
的通项公式;
(2)若
是等比数列,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f108d4cbb79fbc793f2dfc9209b9436d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4cecbdebeb5d12fbe1d54b81cc05a8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d481820a52024d23b2f7c18f6b7782a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
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